Extremal decomposition of the complex plane with free poles on the unit circle

• Date: 2025
• Author Affiliations: Ірина Денега — Інститут математики НАН України; Ярослав Заболотний — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Denega, Iryna, Zabolotnyi, Yaroslav, Денега, Ірина, Заболотний, Ярослав
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2025
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/541
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

This paper is an attempt to follow the path taken by the open problem of V.N. Dubinin on extremal decomposition of the complex plane with free poles on the unit circle. Currently, the problem is not completely solved. In this work, its partial solution for $n\geqslant40$ is obtained for the case of...